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1. [50 pts) Given:...
1. [50 pts) Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression...
1. [50 pts) Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Crm for a normally incident wave. 42 cos ,- cos e Solution: Answer: 1/2 cos 0,+ coses I х ET & H E: MA H Z 0 E as H
1. [50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression...
1. [50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: HP FIGURE 6.23 TM polarization Answer: ITM 1/2 cos - cos, 1/2 cos 0+11 cos
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for...
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: Answer: Гтм 1/2 cos 0, -- cose; 12 cos 6, +91 cose 6.8.2 TM Polarization Oblique incidence of a TM polarized wave is indicated in Figure 6.23. Now all of the magnetic fields are tangential to the boundary, but only the x component of the electric field is tangential. Analysis reveals that...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z <0) onto a slab of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37°; b) Ttm = -0.588 and TTM =...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z < 0) onto a slap of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37º; b) Itm = -0.588 and Ttm =...
Please show all work Consider a uniform transverse electromagnetic plane wave be normally incident on an...
Please show all work
Consider a uniform transverse electromagnetic plane wave be normally incident on an interface between region 1 and region 2, at z = 0. Let the known incident wave in region 1 be (1.20) E(1)(r) = Â Ee-ikız îkı * E")(r) у ki H*)(r) E e-ikız. (1.21) ωμι wi where kı = w M€1. Let the unknown reflected wave be (1.22) E")(r) = în Ef")eikız ku r(r) Hr)(r) = -ġ whi EX")eikiz (1.23) and the unknown transmitted...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
Please Help! If possible show every step my biggest issue is understanding how to get rid...
Please Help! If possible show every step my biggest issue is
understanding how to get rid of the Bessel Function. Thank you!
We've seen that the wave equation takes the form 1 af 2 12 = 0, where V2 is the Laplacian, v is the wave velocity, and f is the function describing the wave. In two Cartesian dimensions the Laplacian reduces to V2 f = 0f + 3f, which is a very convenient form for solving systems with rectangular...
Make sure you show all working and describe each step in your calculations. 1. A signum function ...
signals and communications 2
Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...
Need help solving a linear programming problem. Can you please use step by teps in excel solver and show work so I can follow. Thank you. Portfolio Xi= The amount of dollars to invest in stock i i=1=A...
Need help solving a linear programming problem. Can you please use step by teps in excel solver and show work so I can follow. Thank you. Portfolio Xi= The amount of dollars to invest in stock i i=1=A, 2=B, 3=C, 4=D, 5=E Max Expected Return Z=4.5X1+5.2X2+6.0X3+7.2X4+4.2X5 Subject to: X1+X3<=50,000 X2+X5<=50,000 X4<=50,000 X1>=20,000 X3<=0.2(X1+X3) X1+X2+X3+x4+X5<=100,000 Xi>=0 for all i
1. [50 pts) Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Crm for a normally incident wave. 42 cos ,- cos e Solution: Answer: 1/2 cos 0,+ coses I х ET & H E: MA H Z 0 E as H
1. [50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: HP FIGURE 6.23 TM polarization Answer: ITM 1/2 cos - cos, 1/2 cos 0+11 cos
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: Answer: Гтм 1/2 cos 0, -- cose; 12 cos 6, +91 cose 6.8.2 TM Polarization Oblique incidence of a TM polarized wave is indicated in Figure 6.23. Now all of the magnetic fields are tangential to the boundary, but only the x component of the electric field is tangential. Analysis reveals that...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z <0) onto a slab of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37°; b) Ttm = -0.588 and TTM =...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z < 0) onto a slap of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37º; b) Itm = -0.588 and Ttm =...
Please show all work
Consider a uniform transverse electromagnetic plane wave be normally incident on an interface between region 1 and region 2, at z = 0. Let the known incident wave in region 1 be (1.20) E(1)(r) = Â Ee-ikız îkı * E")(r) у ki H*)(r) E e-ikız. (1.21) ωμι wi where kı = w M€1. Let the unknown reflected wave be (1.22) E")(r) = în Ef")eikız ku r(r) Hr)(r) = -ġ whi EX")eikiz (1.23) and the unknown transmitted...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
Please Help! If possible show every step my biggest issue is
understanding how to get rid of the Bessel Function. Thank you!
We've seen that the wave equation takes the form 1 af 2 12 = 0, where V2 is the Laplacian, v is the wave velocity, and f is the function describing the wave. In two Cartesian dimensions the Laplacian reduces to V2 f = 0f + 3f, which is a very convenient form for solving systems with rectangular...
signals and communications 2
Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...
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